Search a number
-
+
23715069120 = 26325411071877
BaseRepresentation
bin10110000101100001…
…110011110011000000
32021012202002100000100
4112011201303303000
5342032024202440
614521120122400
71466452522131
oct260541636300
967182070010
1023715069120
11a06a5a1486
12471a166400
13230c2764a2
14120d869c88
1593beac230
hex585873cc0

23715069120 has 336 divisors, whose sum is σ = 84385330848. Its totient is φ = 6108856320.

The previous prime is 23715069113. The next prime is 23715069151. The reversal of 23715069120 is 2196051732.

23715069120 is a `hidden beast` number, since 23 + 7 + 1 + 506 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12633622 + ... + 12635498.

It is an arithmetic number, because the mean of its divisors is an integer number (251146818).

Almost surely, 223715069120 is an apocalyptic number.

23715069120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23715069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42192665424).

23715069120 is an abundant number, since it is smaller than the sum of its proper divisors (60670261728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23715069120 is a wasteful number, since it uses less digits than its factorization.

23715069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 23715069120 in words is "twenty-three billion, seven hundred fifteen million, sixty-nine thousand, one hundred twenty".